Problem 6. An electronics store expects to sell 400 laptops at a steady rate next year. The manager of the store plans to order these laptops from the manufacturer by placing several orders of the same size spaced equally throughout year. The ordering cost for each delivery is $30 for the setup costs and $5 per laptop. The carrying costs, based on the average number of laptops in inventory, amount to $15 per year for one laptop. If C() is the inventory cost (which is the sum of the ordering costs and the carrying costs) and is the number of orders C(x) = How many orders should the store manager place?

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Problem 6.
An electronics store expects to sell 400 laptops at a steady rate next year. The manager of the store plans to order these laptops from the manufacturer by placing several orders of the same size spaced equally throughout
year. The ordering cost for each delivery is $30 fo the setup costs and $5 per laptop. The carrying costs, based on the average number of laptops in inventory, amount to $15 per year for one laptop.
If C'(x) is the inventory cost (which is the sum of the ordering costs and the carrying costs) and is the number of orders
C(x) =
How many orders should the store manager place?
Transcribed Image Text:Problem 6. An electronics store expects to sell 400 laptops at a steady rate next year. The manager of the store plans to order these laptops from the manufacturer by placing several orders of the same size spaced equally throughout year. The ordering cost for each delivery is $30 fo the setup costs and $5 per laptop. The carrying costs, based on the average number of laptops in inventory, amount to $15 per year for one laptop. If C'(x) is the inventory cost (which is the sum of the ordering costs and the carrying costs) and is the number of orders C(x) = How many orders should the store manager place?
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